If each radio spin at 347,820 spins hit 10,000 radio listeners average (a Denver hit station has about ~250,000 weekly listeners, a popular rush hour/drive time show with mixed talk/music format has ~80,000 listeners) , then the $53,000 was at a rate of 0.00001524 dollars per listener.
If Pandora paid that, his royalty would have been $582.55...
So it looks like the industry from a streaming point of view assumes about 20,000 radio listeners per play on the radio.
This might even average correctly across the US market.